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On prime galois coverings of the Riemann sphere

✍ Scribed by Gabino González-Diez


Book ID
112608452
Publisher
Springer
Year
1995
Tongue
English
Weight
853 KB
Volume
168
Category
Article
ISSN
0373-3114

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Catalan numbers and branched coverings b
✍ Lisa R Goldberg 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 601 KB

We prove that the number of PGL(2. C) equivalence classes of degree d rational maps with a fixed branch set is generically equal to the "Catalan number" p(d) = (l/d)( 2j:f). Several (previously known) applications of Catalan numbers to combinatorics and algebraic geometry are discussed throughout t